QUESTION 9 Find the first four nonzero terms of the Taylor series of f(x) = e2x centered at x = 0- %3D 1 3+... 1 + x + 6. ******* 4 O1- 2x + 2x² -x+. 3 01-x+**. 01+2x+2x+*.. 4

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A: Find Taylor series.

Q: The Taylor series for f(x) = e² at a = -4 is > Cn(x + 4)". %3D

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A: f(x) = ln x  a =2  f(2) = ln2  f'(X) = 1/X          f'(2) = 1/2  f"(X) = -1/x2      f"(2) = -1/4

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Q: The Taylor series approximation of f(x) = 1/x at x = 1 is %3D

A: The taylor series approximation of f(x)=1x at x=1

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Q: 2. Fill in the table to find the first four terms of the Taylor Series for f(x) = cos(2.x) if a= I…

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